Q: What are the prime factors of the number 1,068,272?

 A: 2, 179, 373

Why are those the prime factors of the number 1,068,272?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 1,068,272

1,068,272
Factor Arrows
2534,136
Factor Arrows
2267,068
Factor Arrows
2133,534
Factor Arrows
266,767
Factor Arrows
179373

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 179, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 179 x 373 = 1,068,272

This can also be written as 24 x 1791 x 3731 = 1,068,272

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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